What is the Greatest Common Factor of 13100 and 13116?

Greatest common factor (GCF) of 13100 and 13116 is 4.

GCF(13100,13116) = 4

We will now calculate the prime factors of 13100 and 13116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13100 and 13116.

How to find the GCF of 13100 and 13116?

We will first find the prime factorization of 13100 and 13116. After we will calculate the factors of 13100 and 13116 and find the biggest common factor number .

Step-1: Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 2² × 5² × 131¹

Step-2: Prime Factorization of 13116

Prime factors of 13116 are 2, 3, 1093. Prime factorization of 13116 in exponential form is:

13116 = 2² × 3¹ × 1093¹

Step-3: Factors of 13100

List of positive integer factors of 13100 that divides 13100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550

Step-4: Factors of 13116

List of positive integer factors of 13116 that divides 13100 without a remainder.

1, 2, 3, 4, 6, 12, 1093, 2186, 3279, 4372, 6558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13100 and 13116. The biggest common factor number is the GCF number.
So the greatest common factor 13100 and 13116 is 4.

Also check out the Least Common Multiple of 13100 and 13116